MUS 15 Project 2: Audio Transcription

Gino Prasad, Saba Heydari Seradj, Ashish Dalvi

For our MUS 15 project, our group created an audio transcriber from scratch. All of the code was made from scratch by us using python.

import os

os.listdir('wav_files')

['e_note.wav', 'audio1623001661.wav', 'a_440.wav']

bruyeres_path = 'wav_files/audio1623001661.wav'

import torch
import torchaudio

print(torch.__version__)
print(torchaudio.__version__)

2.0.0.dev20221214
0.14.0.dev20221214

bruyeres_wav, sample_rate = torchaudio.load(bruyeres_path)
bruyeres_wav = bruyeres_wav[0]

from IPython.display import Audio

Audio(bruyeres_wav, rate=sample_rate)

downsampling_const = 100

downsampled_bruyeres_wav = bruyeres_wav[::downsampling_const]

bruyeres_wav

tensor([0., 0., 0.,  ..., 0., 0., 0.])

len(bruyeres_wav), len(downsampled_bruyeres_wav)

(5679104, 56792)

import matplotlib.pyplot as plt

plt.plot(range(len(downsampled_bruyeres_wav)), downsampled_bruyeres_wav)
plt.xticks(range(0, len(downsampled_bruyeres_wav), 5000))
None

Clipping Audio

Clip from 5000 to 50000

bruyeres_wav = bruyeres_wav[6000 * downsampling_const:50500 * downsampling_const]
downsampled_bruyeres_wav = bruyeres_wav[::downsampling_const]

plt.plot(range(len(downsampled_bruyeres_wav)), downsampled_bruyeres_wav)
plt.xticks(range(0, len(downsampled_bruyeres_wav), 5000))
None

Audio(bruyeres_wav, rate=sample_rate)

Do a fast fourier transform of bruyeres data, for size k for $(1/32) (\text{sample_rate})$

= $(1/32) (\text{sample_rate})$ = $(32000/32) = 1000 ~= 1024$

sample_rate

32000

len(bruyeres_wav)

4450000

len(bruyeres_wav) / sample_rate

139.0625

k = 8192

import numpy as np

def fft(f, exponent_sign=-1):
    f = f.astype(np.float64)
    zero = np.zeros_like(f)[:1]
    if len(f) == 1:
        return f, zero
    assert not len(f) & 1
    
    evens = f[::2]
    odds = f[1::2]
    
    fft_sum_cos, fft_sum_sin = fft(evens, exponent_sign=exponent_sign)
    fft_odds_cos, fft_odds_sin = fft(odds, exponent_sign=exponent_sign)
        
        
    series_domain = np.array([(exponent_sign * 2 * np.pi * n) / len(f) for n in range(len(f) // 2)])
    cos_series = np.cos(series_domain)
    sin_series = np.sin(series_domain)
    
    fft_sum_cos += (cos_series * fft_odds_cos) - (sin_series * fft_odds_sin) 
    fft_sum_sin += (cos_series * fft_odds_sin) + (sin_series * fft_odds_cos) 
    
    diff = np.array([(evens - odds).sum()])    
    fft_sum_cos = np.concatenate((fft_sum_cos, diff, fft_sum_cos[:0:-1]))
    fft_sum_sin = np.concatenate((fft_sum_sin, zero, -fft_sum_sin[:0:-1]))
    
    return fft_sum_cos, fft_sum_sin

def get_amplitude_spectrum(f_hat_cos, f_hat_sin):
    return np.concatenate(([0], sample_rate * np.arange(1, len(f_hat_cos)) / len(f_hat_cos))), np.linalg.norm(np.stack((f_hat_cos, f_hat_sin), axis=1), axis=1)

def predict_freqs_old(f, threshold=0.001, decimals=1, min_amplitude_threshold=0.01):
    fft_cos, fft_sin = fft(f)
    frequencies, amplitude_spectrum = get_amplitude_spectrum(fft_cos, fft_sin)
    
#     print(f"Using Amplitude Threshold {len(f) * threshold}")
    candidates = list(set([frequency for frequency, amp in zip(frequencies, amplitude_spectrum) if frequency < notes[-1][0] and amp > len(f) * min_amplitude_threshold]))
    candidates.sort()
    return candidates

def predict_freqs(f, threshold=0.001, decimals=1, min_amplitude_threshold=0.01):
    fft_cos, fft_sin = fft(f)
    frequencies, amplitude_spectrum = get_amplitude_spectrum(fft_cos, fft_sin)
    
#     print(f"Using Amplitude Threshold {len(f) * threshold}")
    candidates = list(set([frequency for frequency, amp in zip(frequencies, amplitude_spectrum) if frequency < notes[-1][0] and amp > len(f) * min_amplitude_threshold]))
    candidates.sort()
    return candidates

def gaussian_kernel(length, std=1):
    assert length & 1
    
    center = length // 2
    kernel = []
    for i in range(length):
        distance = abs(i - center)
        kernel.append(np.exp(-(distance * distance) / (2 * std * std)))
    kernel = np.array(kernel)
    
    kernel = kernel - (np.sum(kernel) / length)
    kernel = kernel / np.linalg.norm(kernel)
    return kernel

length = (k // 16) + 1
std = 3
plt.plot(range(length), gaussian_kernel(length, std))

[<matplotlib.lines.Line2D at 0x137f77190>]

gkernel = gaussian_kernel(length, std)

Assigning Pitches to Frequencies

A3 220.00

A#3/Bb3 233.08

B3 246.94

C4 261.63

C#4/Db4 277.18

D4 293.66

D#4/Eb4 311.13

E4 329.63

F4 349.23

F#4/Gb4 369.99

G4 392.00

G#4/Ab4 415.30

A4 440.00

A#4/Bb4 466.16

prelim_notes_octave = 4
prelim_notes = [("C", 261.63), ("C#", 277.18), ("D", 293.66), ("D#", 311.13),
         ("E", 329.63), ("F", 349.23), ("F#", 369.99), ("G", 392.00), ("G#", 415.30), ("A", 440.00), ("A#", 466.16), ("B", 493.88), ]
prelim_notes

[('C', 261.63),
 ('C#', 277.18),
 ('D', 293.66),
 ('D#', 311.13),
 ('E', 329.63),
 ('F', 349.23),
 ('F#', 369.99),
 ('G', 392.0),
 ('G#', 415.3),
 ('A', 440.0),
 ('A#', 466.16),
 ('B', 493.88)]

import pandas as pd

Octave Higher = (2) lower octave

notes = [(freq * (2 ** (octave - prelim_notes_octave)), f"{name}{octave}") for octave in range(8) for name, freq in prelim_notes]
pd.DataFrame(notes)

	0	1
0	16.351875	C0
1	17.323750	C#0
2	18.353750	D0
3	19.445625	D#0
4	20.601875	E0
...	...	...
91	3136.000000	G7
92	3322.400000	G#7
93	3520.000000	A7
94	3729.280000	A#7
95	3951.040000	B7

96 rows × 2 columns

notes_dict = {name: freq for freq, name in notes}
notes_dict

{'C0': 16.351875,
 'C#0': 17.32375,
 'D0': 18.35375,
 'D#0': 19.445625,
 'E0': 20.601875,
 'F0': 21.826875,
 'F#0': 23.124375,
 'G0': 24.5,
 'G#0': 25.95625,
 'A0': 27.5,
 'A#0': 29.135,
 'B0': 30.8675,
 'C1': 32.70375,
 'C#1': 34.6475,
 'D1': 36.7075,
 'D#1': 38.89125,
 'E1': 41.20375,
 'F1': 43.65375,
 'F#1': 46.24875,
 'G1': 49.0,
 'G#1': 51.9125,
 'A1': 55.0,
 'A#1': 58.27,
 'B1': 61.735,
 'C2': 65.4075,
 'C#2': 69.295,
 'D2': 73.415,
 'D#2': 77.7825,
 'E2': 82.4075,
 'F2': 87.3075,
 'F#2': 92.4975,
 'G2': 98.0,
 'G#2': 103.825,
 'A2': 110.0,
 'A#2': 116.54,
 'B2': 123.47,
 'C3': 130.815,
 'C#3': 138.59,
 'D3': 146.83,
 'D#3': 155.565,
 'E3': 164.815,
 'F3': 174.615,
 'F#3': 184.995,
 'G3': 196.0,
 'G#3': 207.65,
 'A3': 220.0,
 'A#3': 233.08,
 'B3': 246.94,
 'C4': 261.63,
 'C#4': 277.18,
 'D4': 293.66,
 'D#4': 311.13,
 'E4': 329.63,
 'F4': 349.23,
 'F#4': 369.99,
 'G4': 392.0,
 'G#4': 415.3,
 'A4': 440.0,
 'A#4': 466.16,
 'B4': 493.88,
 'C5': 523.26,
 'C#5': 554.36,
 'D5': 587.32,
 'D#5': 622.26,
 'E5': 659.26,
 'F5': 698.46,
 'F#5': 739.98,
 'G5': 784.0,
 'G#5': 830.6,
 'A5': 880.0,
 'A#5': 932.32,
 'B5': 987.76,
 'C6': 1046.52,
 'C#6': 1108.72,
 'D6': 1174.64,
 'D#6': 1244.52,
 'E6': 1318.52,
 'F6': 1396.92,
 'F#6': 1479.96,
 'G6': 1568.0,
 'G#6': 1661.2,
 'A6': 1760.0,
 'A#6': 1864.64,
 'B6': 1975.52,
 'C7': 2093.04,
 'C#7': 2217.44,
 'D7': 2349.28,
 'D#7': 2489.04,
 'E7': 2637.04,
 'F7': 2793.84,
 'F#7': 2959.92,
 'G7': 3136.0,
 'G#7': 3322.4,
 'A7': 3520.0,
 'A#7': 3729.28,
 'B7': 3951.04}

Since computation is high, need steps for k-mers to reduce time

step = 100

first_10 = bruyeres_wav[:10 * sample_rate]

len(first_10), len(first_10) / sample_rate

(320000, 10.0)

k

8192

len(first_10)

320000

def get_kmers(wav):
    return (wav[i:i+k] for i in range(0, len(wav), step) if i+k <= len(wav))

total_freqs = []
for i, kmer in enumerate(get_kmers(first_10)):
    kmer = kmer.numpy()
    freqs = predict_freqs(kmer)
    print(f"Start: second {i * step / sample_rate}", freqs)
    total_freqs.append(freqs)
#     break

Start: second 0.0 []
Start: second 0.003125 []
Start: second 0.00625 []
Start: second 0.009375 []
Start: second 0.0125 []
Start: second 0.015625 []
Start: second 0.01875 []
Start: second 0.021875 []
Start: second 0.025 []
Start: second 0.028125 []
Start: second 0.03125 []
Start: second 0.034375 []
Start: second 0.0375 []
Start: second 0.040625 []
Start: second 0.04375 []
Start: second 0.046875 []
Start: second 0.05 []
Start: second 0.053125 []
Start: second 0.05625 []
Start: second 0.059375 []
Start: second 0.0625 []
Start: second 0.065625 []
Start: second 0.06875 []
Start: second 0.071875 []
Start: second 0.075 []
Start: second 0.078125 []
Start: second 0.08125 []
Start: second 0.084375 []
Start: second 0.0875 []
Start: second 0.090625 []
Start: second 0.09375 []
Start: second 0.096875 []
Start: second 0.1 []
Start: second 0.103125 []
Start: second 0.10625 []
Start: second 0.109375 []
Start: second 0.1125 []
Start: second 0.115625 []
Start: second 0.11875 []
Start: second 0.121875 []
Start: second 0.125 []
Start: second 0.128125 []
Start: second 0.13125 []
Start: second 0.134375 []
Start: second 0.1375 []
Start: second 0.140625 []
Start: second 0.14375 []
Start: second 0.146875 []
Start: second 0.15 []
Start: second 0.153125 []
Start: second 0.15625 []
Start: second 0.159375 []
Start: second 0.1625 []
Start: second 0.165625 []
Start: second 0.16875 []
Start: second 0.171875 []
Start: second 0.175 []
Start: second 0.178125 []
Start: second 0.18125 []
Start: second 0.184375 []
Start: second 0.1875 []
Start: second 0.190625 []
Start: second 0.19375 []
Start: second 0.196875 []
Start: second 0.2 []
Start: second 0.203125 []
Start: second 0.20625 []
Start: second 0.209375 []
Start: second 0.2125 []
Start: second 0.215625 []
Start: second 0.21875 []
Start: second 0.221875 []
Start: second 0.225 []
Start: second 0.228125 []
Start: second 0.23125 []
Start: second 0.234375 []
Start: second 0.2375 []
Start: second 0.240625 []
Start: second 0.24375 []
Start: second 0.246875 []
Start: second 0.25 []
Start: second 0.253125 []
Start: second 0.25625 []
Start: second 0.259375 []
Start: second 0.2625 []
Start: second 0.265625 []
Start: second 0.26875 []
Start: second 0.271875 []
Start: second 0.275 []
Start: second 0.278125 []
Start: second 0.28125 []
Start: second 0.284375 []
Start: second 0.2875 []
Start: second 0.290625 []
Start: second 0.29375 []
Start: second 0.296875 []
Start: second 0.3 []
Start: second 0.303125 []
Start: second 0.30625 []
Start: second 0.309375 []
Start: second 0.3125 []
Start: second 0.315625 []
Start: second 0.31875 []
Start: second 0.321875 []
Start: second 0.325 []
Start: second 0.328125 []
Start: second 0.33125 []
Start: second 0.334375 []
Start: second 0.3375 []
Start: second 0.340625 []
Start: second 0.34375 []
Start: second 0.346875 []
Start: second 0.35 []
Start: second 0.353125 []
Start: second 0.35625 []
Start: second 0.359375 []
Start: second 0.3625 []
Start: second 0.365625 []
Start: second 0.36875 []
Start: second 0.371875 []
Start: second 0.375 []
Start: second 0.378125 []
Start: second 0.38125 []
Start: second 0.384375 []
Start: second 0.3875 []
Start: second 0.390625 []
Start: second 0.39375 []
Start: second 0.396875 []
Start: second 0.4 []
Start: second 0.403125 []
Start: second 0.40625 []
Start: second 0.409375 []
Start: second 0.4125 []
Start: second 0.415625 []
Start: second 0.41875 []
Start: second 0.421875 []
Start: second 0.425 []
Start: second 0.428125 []
Start: second 0.43125 []
Start: second 0.434375 []
Start: second 0.4375 [621.09375, 625.0]
Start: second 0.440625 [621.09375, 625.0]
Start: second 0.44375 [621.09375, 625.0]
Start: second 0.446875 [617.1875, 621.09375, 625.0, 628.90625]
Start: second 0.45 [617.1875, 621.09375, 625.0, 628.90625]
Start: second 0.453125 [617.1875, 621.09375, 625.0, 628.90625]
Start: second 0.45625 [617.1875, 621.09375, 625.0, 628.90625]
Start: second 0.459375 [617.1875, 621.09375, 625.0, 628.90625]
Start: second 0.4625 [617.1875, 621.09375, 625.0, 628.90625]
Start: second 0.465625 [617.1875, 621.09375, 625.0, 628.90625]
Start: second 0.46875 [617.1875, 621.09375, 625.0, 628.90625]
Start: second 0.471875 [617.1875, 621.09375, 625.0, 628.90625]
Start: second 0.475 [617.1875, 621.09375, 625.0, 628.90625]
Start: second 0.478125 [617.1875, 621.09375, 625.0, 628.90625]
Start: second 0.48125 [617.1875, 621.09375, 625.0, 628.90625]
Start: second 0.484375 [621.09375, 625.0, 628.90625]
Start: second 0.4875 [621.09375, 625.0, 628.90625]
Start: second 0.490625 [621.09375, 625.0, 628.90625]
Start: second 0.49375 [621.09375, 625.0, 628.90625]
Start: second 0.496875 [621.09375, 625.0, 628.90625]
Start: second 0.5 [621.09375, 625.0, 628.90625]
Start: second 0.503125 [621.09375, 625.0, 628.90625]
Start: second 0.50625 [621.09375, 625.0, 628.90625]
Start: second 0.509375 [621.09375, 625.0, 628.90625]
Start: second 0.5125 [621.09375, 625.0, 628.90625]
Start: second 0.515625 [621.09375, 625.0, 628.90625]
Start: second 0.51875 [621.09375, 625.0, 628.90625]
Start: second 0.521875 [621.09375, 625.0, 628.90625]
Start: second 0.525 [621.09375, 625.0, 628.90625]
Start: second 0.528125 [621.09375, 625.0, 628.90625]
Start: second 0.53125 [621.09375, 625.0, 628.90625]
Start: second 0.534375 [621.09375, 625.0]
Start: second 0.5375 [621.09375, 625.0]
Start: second 0.540625 [621.09375, 625.0]
Start: second 0.54375 [621.09375, 625.0]
Start: second 0.546875 [621.09375, 625.0]
Start: second 0.55 [621.09375, 625.0]
Start: second 0.553125 [621.09375, 625.0]
Start: second 0.55625 [621.09375, 625.0]
Start: second 0.559375 [621.09375, 625.0]
Start: second 0.5625 [621.09375, 625.0]
Start: second 0.565625 [621.09375, 625.0]
Start: second 0.56875 [621.09375, 625.0]
Start: second 0.571875 [621.09375, 625.0]
Start: second 0.575 [621.09375, 625.0]
Start: second 0.578125 [621.09375, 625.0]
Start: second 0.58125 [621.09375, 625.0]
Start: second 0.584375 [621.09375, 625.0]
Start: second 0.5875 [621.09375, 625.0]
Start: second 0.590625 [621.09375, 625.0]
Start: second 0.59375 [617.1875, 621.09375, 625.0]
Start: second 0.596875 [617.1875, 621.09375, 625.0]
Start: second 0.6 [617.1875, 621.09375, 625.0]
Start: second 0.603125 [617.1875, 621.09375, 625.0]
Start: second 0.60625 [617.1875, 621.09375, 625.0]
Start: second 0.609375 [617.1875, 621.09375, 625.0]
Start: second 0.6125 [617.1875, 621.09375, 625.0]
Start: second 0.615625 [621.09375, 625.0]
Start: second 0.61875 [621.09375, 625.0]
Start: second 0.621875 [621.09375, 625.0]
Start: second 0.625 [621.09375, 625.0]
Start: second 0.628125 [621.09375, 625.0]
Start: second 0.63125 [621.09375, 625.0]
Start: second 0.634375 [621.09375, 625.0]
Start: second 0.6375 [621.09375, 625.0]
Start: second 0.640625 [621.09375, 625.0]
Start: second 0.64375 [621.09375, 625.0]
Start: second 0.646875 [621.09375, 625.0]
Start: second 0.65 [621.09375, 625.0]
Start: second 0.653125 [621.09375, 625.0]
Start: second 0.65625 [621.09375, 625.0]
Start: second 0.659375 [621.09375, 625.0]
Start: second 0.6625 [621.09375, 625.0]
Start: second 0.665625 [621.09375, 625.0]
Start: second 0.66875 [621.09375, 625.0]
Start: second 0.671875 [621.09375, 625.0]
Start: second 0.675 [621.09375, 625.0]
Start: second 0.678125 [621.09375, 625.0]
Start: second 0.68125 [625.0]
Start: second 0.684375 [625.0]
Start: second 0.6875 [625.0]
Start: second 0.690625 [625.0]
Start: second 0.69375 [625.0]
Start: second 0.696875 [625.0]
Start: second 0.7 [625.0]
Start: second 0.703125 [625.0]
Start: second 0.70625 [625.0]
Start: second 0.709375 [625.0]
Start: second 0.7125 [625.0]
Start: second 0.715625 [625.0]
Start: second 0.71875 [625.0]
Start: second 0.721875 [625.0]
Start: second 0.725 [625.0]
Start: second 0.728125 [625.0]
Start: second 0.73125 [625.0]
Start: second 0.734375 [625.0]
Start: second 0.7375 [625.0]
Start: second 0.740625 [625.0]
Start: second 0.74375 [625.0]
Start: second 0.746875 [625.0]
Start: second 0.75 [625.0]
Start: second 0.753125 [625.0]
Start: second 0.75625 [625.0]
Start: second 0.759375 [625.0]
Start: second 0.7625 [625.0]
Start: second 0.765625 [625.0]
Start: second 0.76875 [625.0]
Start: second 0.771875 [625.0]
Start: second 0.775 [625.0]
Start: second 0.778125 [625.0]
Start: second 0.78125 [625.0]
Start: second 0.784375 [625.0]
Start: second 0.7875 [625.0]
Start: second 0.790625 [625.0]
Start: second 0.79375 [625.0]
Start: second 0.796875 [625.0]
Start: second 0.8 [625.0]
Start: second 0.803125 [625.0]
Start: second 0.80625 [625.0]
Start: second 0.809375 [625.0]
Start: second 0.8125 [625.0]
Start: second 0.815625 [625.0]
Start: second 0.81875 [625.0]
Start: second 0.821875 [625.0]
Start: second 0.825 [625.0]
Start: second 0.828125 [625.0]
Start: second 0.83125 [625.0]
Start: second 0.834375 [625.0]
Start: second 0.8375 [625.0]
Start: second 0.840625 [625.0]
Start: second 0.84375 [625.0]
Start: second 0.846875 [625.0]
Start: second 0.85 [625.0]
Start: second 0.853125 [625.0]
Start: second 0.85625 [625.0]
Start: second 0.859375 [625.0]
Start: second 0.8625 [625.0]
Start: second 0.865625 [625.0]
Start: second 0.86875 [625.0]
Start: second 0.871875 [625.0]
Start: second 0.875 [625.0]
Start: second 0.878125 [625.0]
Start: second 0.88125 [625.0]
Start: second 0.884375 [625.0]
Start: second 0.8875 [625.0]
Start: second 0.890625 [625.0]
Start: second 0.89375 [625.0]
Start: second 0.896875 [625.0]
Start: second 0.9 [625.0]
Start: second 0.903125 [625.0]
Start: second 0.90625 [625.0]
Start: second 0.909375 [523.4375, 527.34375, 625.0]
Start: second 0.9125 [523.4375, 527.34375, 625.0]
Start: second 0.915625 [523.4375, 527.34375, 625.0]
Start: second 0.91875 [523.4375, 527.34375, 625.0]
Start: second 0.921875 [523.4375, 527.34375, 625.0]
Start: second 0.925 [523.4375, 527.34375, 625.0]
Start: second 0.928125 [523.4375, 527.34375, 625.0]
Start: second 0.93125 [523.4375, 527.34375, 625.0]
Start: second 0.934375 [523.4375, 527.34375, 625.0]
Start: second 0.9375 [523.4375, 527.34375, 625.0]
Start: second 0.940625 [523.4375, 527.34375]
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Start: second 8.121875 []
Start: second 8.125 []
Start: second 8.128125 []
Start: second 8.13125 []
Start: second 8.134375 []
Start: second 8.1375 []
Start: second 8.140625 []
Start: second 8.14375 []
Start: second 8.146875 []
Start: second 8.15 []
Start: second 8.153125 []
Start: second 8.15625 []
Start: second 8.159375 []
Start: second 8.1625 []
Start: second 8.165625 []
Start: second 8.16875 []
Start: second 8.171875 []
Start: second 8.175 []
Start: second 8.178125 []
Start: second 8.18125 []
Start: second 8.184375 []
Start: second 8.1875 []
Start: second 8.190625 []
Start: second 8.19375 []
Start: second 8.196875 []
Start: second 8.2 []
Start: second 8.203125 []
Start: second 8.20625 []
Start: second 8.209375 []
Start: second 8.2125 []
Start: second 8.215625 []
Start: second 8.21875 []
Start: second 8.221875 []
Start: second 8.225 []
Start: second 8.228125 []
Start: second 8.23125 []
Start: second 8.234375 []
Start: second 8.2375 []
Start: second 8.240625 []
Start: second 8.24375 []
Start: second 8.246875 []
Start: second 8.25 []
Start: second 8.253125 []
Start: second 8.25625 []
Start: second 8.259375 []
Start: second 8.2625 []
Start: second 8.265625 []
Start: second 8.26875 []
Start: second 8.271875 []
Start: second 8.275 []
Start: second 8.278125 []
Start: second 8.28125 []
Start: second 8.284375 []
Start: second 8.2875 []
Start: second 8.290625 []
Start: second 8.29375 []
Start: second 8.296875 []
Start: second 8.3 []
Start: second 8.303125 []
Start: second 8.30625 []
Start: second 8.309375 []
Start: second 8.3125 []
Start: second 8.315625 []
Start: second 8.31875 []
Start: second 8.321875 []
Start: second 8.325 []
Start: second 8.328125 []
Start: second 8.33125 []
Start: second 8.334375 []
Start: second 8.3375 []
Start: second 8.340625 []
Start: second 8.34375 []
Start: second 8.346875 []
Start: second 8.35 []
Start: second 8.353125 []
Start: second 8.35625 []
Start: second 8.359375 []
Start: second 8.3625 []
Start: second 8.365625 []
Start: second 8.36875 []
Start: second 8.371875 []
Start: second 8.375 []
Start: second 8.378125 []
Start: second 8.38125 []
Start: second 8.384375 []
Start: second 8.3875 []
Start: second 8.390625 []
Start: second 8.39375 []
Start: second 8.396875 []
Start: second 8.4 []
Start: second 8.403125 []
Start: second 8.40625 []
Start: second 8.409375 []
Start: second 8.4125 []
Start: second 8.415625 []
Start: second 8.41875 []
Start: second 8.421875 []
Start: second 8.425 []
Start: second 8.428125 []
Start: second 8.43125 []
Start: second 8.434375 []
Start: second 8.4375 []
Start: second 8.440625 []
Start: second 8.44375 []
Start: second 8.446875 []
Start: second 8.45 []
Start: second 8.453125 []
Start: second 8.45625 []
Start: second 8.459375 []
Start: second 8.4625 []
Start: second 8.465625 []
Start: second 8.46875 []
Start: second 8.471875 []
Start: second 8.475 []
Start: second 8.478125 []
Start: second 8.48125 []
Start: second 8.484375 []
Start: second 8.4875 []
Start: second 8.490625 []
Start: second 8.49375 []
Start: second 8.496875 []
Start: second 8.5 []
Start: second 8.503125 []
Start: second 8.50625 []
Start: second 8.509375 []
Start: second 8.5125 []
Start: second 8.515625 []
Start: second 8.51875 []
Start: second 8.521875 []
Start: second 8.525 []
Start: second 8.528125 []
Start: second 8.53125 []
Start: second 8.534375 []
Start: second 8.5375 []
Start: second 8.540625 []
Start: second 8.54375 []
Start: second 8.546875 []
Start: second 8.55 []
Start: second 8.553125 []
Start: second 8.55625 []
Start: second 8.559375 []
Start: second 8.5625 [523.4375]
Start: second 8.565625 [523.4375]
Start: second 8.56875 [523.4375]
Start: second 8.571875 [523.4375]
Start: second 8.575 [523.4375]
Start: second 8.578125 [523.4375]
Start: second 8.58125 [523.4375]
Start: second 8.584375 [523.4375]
Start: second 8.5875 [523.4375]
Start: second 8.590625 [523.4375]
Start: second 8.59375 [523.4375]
Start: second 8.596875 [523.4375]
Start: second 8.6 [523.4375]
Start: second 8.603125 [523.4375]
Start: second 8.60625 [523.4375]
Start: second 8.609375 [523.4375]
Start: second 8.6125 [523.4375]
Start: second 8.615625 []
Start: second 8.61875 []
Start: second 8.621875 []
Start: second 8.625 []
Start: second 8.628125 []
Start: second 8.63125 []
Start: second 8.634375 []
Start: second 8.6375 []
Start: second 8.640625 []
Start: second 8.64375 []
Start: second 8.646875 []
Start: second 8.65 []
Start: second 8.653125 []
Start: second 8.65625 []
Start: second 8.659375 []
Start: second 8.6625 []
Start: second 8.665625 []
Start: second 8.66875 []
Start: second 8.671875 []
Start: second 8.675 []
Start: second 8.678125 []
Start: second 8.68125 []
Start: second 8.684375 []
Start: second 8.6875 []
Start: second 8.690625 []
Start: second 8.69375 []
Start: second 8.696875 []
Start: second 8.7 []
Start: second 8.703125 []
Start: second 8.70625 []
Start: second 8.709375 []
Start: second 8.7125 []
Start: second 8.715625 []
Start: second 8.71875 []
Start: second 8.721875 []
Start: second 8.725 []
Start: second 8.728125 []
Start: second 8.73125 []
Start: second 8.734375 []
Start: second 8.7375 []
Start: second 8.740625 []
Start: second 8.74375 []
Start: second 8.746875 []
Start: second 8.75 []
Start: second 8.753125 []
Start: second 8.75625 []
Start: second 8.759375 []
Start: second 8.7625 []
Start: second 8.765625 []
Start: second 8.76875 []
Start: second 8.771875 []
Start: second 8.775 []
Start: second 8.778125 []
Start: second 8.78125 []
Start: second 8.784375 []
Start: second 8.7875 []
Start: second 8.790625 []
Start: second 8.79375 []
Start: second 8.796875 []
Start: second 8.8 []
Start: second 8.803125 []
Start: second 8.80625 []
Start: second 8.809375 []
Start: second 8.8125 []
Start: second 8.815625 []
Start: second 8.81875 []
Start: second 8.821875 []
Start: second 8.825 []
Start: second 8.828125 []
Start: second 8.83125 []
Start: second 8.834375 []
Start: second 8.8375 []
Start: second 8.840625 []
Start: second 8.84375 []
Start: second 8.846875 []
Start: second 8.85 []
Start: second 8.853125 []
Start: second 8.85625 []
Start: second 8.859375 []
Start: second 8.8625 []
Start: second 8.865625 []
Start: second 8.86875 []
Start: second 8.871875 []
Start: second 8.875 []
Start: second 8.878125 []
Start: second 8.88125 []
Start: second 8.884375 []
Start: second 8.8875 []
Start: second 8.890625 []
Start: second 8.89375 []
Start: second 8.896875 []
Start: second 8.9 []
Start: second 8.903125 []
Start: second 8.90625 []
Start: second 8.909375 []
Start: second 8.9125 []
Start: second 8.915625 []
Start: second 8.91875 []
Start: second 8.921875 []
Start: second 8.925 []
Start: second 8.928125 []
Start: second 8.93125 []
Start: second 8.934375 []
Start: second 8.9375 []
Start: second 8.940625 []
Start: second 8.94375 []
Start: second 8.946875 []
Start: second 8.95 []
Start: second 8.953125 []
Start: second 8.95625 []
Start: second 8.959375 []
Start: second 8.9625 []
Start: second 8.965625 []
Start: second 8.96875 []
Start: second 8.971875 []
Start: second 8.975 []
Start: second 8.978125 []
Start: second 8.98125 []
Start: second 8.984375 []
Start: second 8.9875 []
Start: second 8.990625 []
Start: second 8.99375 []
Start: second 8.996875 []
Start: second 9.0 []
Start: second 9.003125 []
Start: second 9.00625 []
Start: second 9.009375 []
Start: second 9.0125 []
Start: second 9.015625 []
Start: second 9.01875 []
Start: second 9.021875 []
Start: second 9.025 []
Start: second 9.028125 []
Start: second 9.03125 []
Start: second 9.034375 []
Start: second 9.0375 []
Start: second 9.040625 []
Start: second 9.04375 []
Start: second 9.046875 []
Start: second 9.05 []
Start: second 9.053125 []
Start: second 9.05625 []
Start: second 9.059375 []
Start: second 9.0625 []
Start: second 9.065625 []
Start: second 9.06875 []
Start: second 9.071875 []
Start: second 9.075 []
Start: second 9.078125 []
Start: second 9.08125 []
Start: second 9.084375 []
Start: second 9.0875 []
Start: second 9.090625 []
Start: second 9.09375 []
Start: second 9.096875 []
Start: second 9.1 []
Start: second 9.103125 []
Start: second 9.10625 []
Start: second 9.109375 []
Start: second 9.1125 []
Start: second 9.115625 []
Start: second 9.11875 []
Start: second 9.121875 []
Start: second 9.125 []
Start: second 9.128125 []
Start: second 9.13125 []
Start: second 9.134375 []
Start: second 9.1375 []
Start: second 9.140625 []
Start: second 9.14375 []
Start: second 9.146875 []
Start: second 9.15 []
Start: second 9.153125 []
Start: second 9.15625 []
Start: second 9.159375 []
Start: second 9.1625 []
Start: second 9.165625 []
Start: second 9.16875 []
Start: second 9.171875 []
Start: second 9.175 []
Start: second 9.178125 []
Start: second 9.18125 []
Start: second 9.184375 []
Start: second 9.1875 []
Start: second 9.190625 []
Start: second 9.19375 []
Start: second 9.196875 []
Start: second 9.2 []
Start: second 9.203125 []
Start: second 9.20625 []
Start: second 9.209375 []
Start: second 9.2125 []
Start: second 9.215625 []
Start: second 9.21875 []
Start: second 9.221875 []
Start: second 9.225 []
Start: second 9.228125 []
Start: second 9.23125 []
Start: second 9.234375 []
Start: second 9.2375 []
Start: second 9.240625 []
Start: second 9.24375 []
Start: second 9.246875 []
Start: second 9.25 []
Start: second 9.253125 []
Start: second 9.25625 []
Start: second 9.259375 []
Start: second 9.2625 []
Start: second 9.265625 []
Start: second 9.26875 []
Start: second 9.271875 []
Start: second 9.275 []
Start: second 9.278125 []
Start: second 9.28125 []
Start: second 9.284375 [523.4375]
Start: second 9.2875 []
Start: second 9.290625 []
Start: second 9.29375 []
Start: second 9.296875 [523.4375]
Start: second 9.3 [523.4375]
Start: second 9.303125 [523.4375]
Start: second 9.30625 [523.4375]
Start: second 9.309375 [523.4375]
Start: second 9.3125 [523.4375]
Start: second 9.315625 [523.4375]
Start: second 9.31875 [523.4375]
Start: second 9.321875 [523.4375]
Start: second 9.325 [523.4375]
Start: second 9.328125 [523.4375]
Start: second 9.33125 [523.4375]
Start: second 9.334375 [523.4375]
Start: second 9.3375 [523.4375]
Start: second 9.340625 [523.4375]
Start: second 9.34375 [523.4375]
Start: second 9.346875 [523.4375]
Start: second 9.35 [523.4375]
Start: second 9.353125 [523.4375]
Start: second 9.35625 [523.4375]
Start: second 9.359375 [523.4375]
Start: second 9.3625 [523.4375]
Start: second 9.365625 [523.4375]
Start: second 9.36875 [523.4375]
Start: second 9.371875 [523.4375]
Start: second 9.375 [523.4375]
Start: second 9.378125 [523.4375]
Start: second 9.38125 [523.4375]
Start: second 9.384375 [523.4375]
Start: second 9.3875 [523.4375]
Start: second 9.390625 [523.4375]
Start: second 9.39375 [523.4375]
Start: second 9.396875 [523.4375]
Start: second 9.4 [523.4375]
Start: second 9.403125 [523.4375]
Start: second 9.40625 [523.4375]
Start: second 9.409375 [523.4375]
Start: second 9.4125 [523.4375]
Start: second 9.415625 []
Start: second 9.41875 []
Start: second 9.421875 [523.4375]
Start: second 9.425 [523.4375]
Start: second 9.428125 []
Start: second 9.43125 []
Start: second 9.434375 []
Start: second 9.4375 []
Start: second 9.440625 []
Start: second 9.44375 []
Start: second 9.446875 []
Start: second 9.45 []
Start: second 9.453125 []
Start: second 9.45625 []
Start: second 9.459375 []
Start: second 9.4625 []
Start: second 9.465625 []
Start: second 9.46875 []
Start: second 9.471875 []
Start: second 9.475 []
Start: second 9.478125 []
Start: second 9.48125 []
Start: second 9.484375 []
Start: second 9.4875 []
Start: second 9.490625 [312.5]
Start: second 9.49375 [312.5]
Start: second 9.496875 [312.5]
Start: second 9.5 [261.71875, 312.5]
Start: second 9.503125 [261.71875, 312.5]
Start: second 9.50625 [261.71875, 312.5]
Start: second 9.509375 [261.71875, 312.5]
Start: second 9.5125 [261.71875, 312.5]
Start: second 9.515625 [261.71875, 312.5]
Start: second 9.51875 [261.71875, 312.5]
Start: second 9.521875 [261.71875, 312.5]
Start: second 9.525 [261.71875, 312.5]
Start: second 9.528125 [261.71875, 312.5]
Start: second 9.53125 [261.71875, 312.5]
Start: second 9.534375 [261.71875, 312.5]
Start: second 9.5375 [261.71875, 312.5]
Start: second 9.540625 [261.71875, 312.5]
Start: second 9.54375 [261.71875, 312.5]
Start: second 9.546875 [261.71875, 312.5]
Start: second 9.55 [261.71875, 312.5]
Start: second 9.553125 [261.71875, 312.5]
Start: second 9.55625 [261.71875, 312.5]
Start: second 9.559375 [261.71875, 312.5]
Start: second 9.5625 [261.71875, 312.5]
Start: second 9.565625 [261.71875, 312.5]
Start: second 9.56875 [261.71875, 312.5]
Start: second 9.571875 [261.71875, 312.5]
Start: second 9.575 [261.71875, 312.5]
Start: second 9.578125 [261.71875, 312.5]
Start: second 9.58125 [261.71875, 312.5]
Start: second 9.584375 [261.71875, 312.5]
Start: second 9.5875 [261.71875, 312.5]
Start: second 9.590625 [261.71875, 312.5]
Start: second 9.59375 [261.71875, 312.5]
Start: second 9.596875 [261.71875, 312.5]
Start: second 9.6 [261.71875, 312.5]
Start: second 9.603125 [261.71875, 312.5]
Start: second 9.60625 [261.71875, 312.5]
Start: second 9.609375 [261.71875, 312.5]
Start: second 9.6125 [261.71875, 312.5]
Start: second 9.615625 [261.71875, 312.5]
Start: second 9.61875 [261.71875, 312.5]
Start: second 9.621875 [261.71875, 312.5]
Start: second 9.625 [261.71875, 312.5]
Start: second 9.628125 [261.71875, 312.5]
Start: second 9.63125 [261.71875, 312.5]
Start: second 9.634375 [261.71875, 312.5]
Start: second 9.6375 [261.71875, 312.5]
Start: second 9.640625 [261.71875, 312.5]
Start: second 9.64375 [261.71875, 312.5]
Start: second 9.646875 [261.71875, 312.5]
Start: second 9.65 [261.71875, 312.5]
Start: second 9.653125 [261.71875, 312.5]
Start: second 9.65625 [261.71875, 312.5]
Start: second 9.659375 [261.71875, 312.5]
Start: second 9.6625 [261.71875, 312.5]
Start: second 9.665625 [261.71875, 312.5]
Start: second 9.66875 [261.71875, 312.5]
Start: second 9.671875 [261.71875, 312.5]
Start: second 9.675 [261.71875, 312.5]
Start: second 9.678125 [261.71875, 312.5]
Start: second 9.68125 [261.71875, 312.5]
Start: second 9.684375 [261.71875, 312.5]
Start: second 9.6875 [261.71875, 312.5]
Start: second 9.690625 [261.71875, 312.5]
Start: second 9.69375 [261.71875, 312.5]
Start: second 9.696875 [261.71875, 312.5]
Start: second 9.7 [261.71875, 312.5]
Start: second 9.703125 [261.71875, 312.5]
Start: second 9.70625 [261.71875, 312.5]
Start: second 9.709375 [261.71875, 312.5]
Start: second 9.7125 [261.71875, 312.5]
Start: second 9.715625 [261.71875, 312.5]
Start: second 9.71875 [261.71875, 312.5]
Start: second 9.721875 [261.71875, 312.5]
Start: second 9.725 [261.71875, 312.5]
Start: second 9.728125 [261.71875, 312.5]
Start: second 9.73125 [261.71875, 312.5]
Start: second 9.734375 [261.71875, 312.5]
Start: second 9.7375 [261.71875, 312.5]
Start: second 9.740625 [261.71875, 312.5]
Start: second 9.74375 [261.71875, 312.5]

import bisect

test = 440

def closest_notes(freq_list):
    related_notes = []
    for freq in freq_list:
        right = bisect.bisect(notes, (freq, ''))
        if right == len(notes):
            right_val = np.inf
        else:
            right_diff = (abs(notes[right][0] - test), notes[right][1])
        left = right - 1
        left_diff = (abs(notes[left][0] - test), notes[left][1])
        related_notes.append((min(left_diff, right_diff)[1]))
    return list(sorted(set(related_notes), key=lambda x: notes_dict[x]))

closest_notes([440, 550, 660])

['A4', 'C5', 'E5']

k

8192

step

100

k = 2 ** 13
k

8192

note_list = []
for i, kmer in enumerate(get_kmers(first_10)):
    kmer = kmer.numpy()
    freqs = predict_freqs(kmer)
    
    note_ls = closest_notes(freqs)
    print(f"Start: second {i * step / sample_rate}", note_ls)
    note_list.append(note_ls)
#     break

Start: second 0.0 []
Start: second 0.003125 []
Start: second 0.00625 []
Start: second 0.009375 []
Start: second 0.0125 []
Start: second 0.015625 []
Start: second 0.01875 []
Start: second 0.021875 []
Start: second 0.025 []
Start: second 0.028125 []
Start: second 0.03125 []
Start: second 0.034375 []
Start: second 0.0375 []
Start: second 0.040625 []
Start: second 0.04375 []
Start: second 0.046875 []
Start: second 0.05 []
Start: second 0.053125 []
Start: second 0.05625 []
Start: second 0.059375 []
Start: second 0.0625 []
Start: second 0.065625 []
Start: second 0.06875 []
Start: second 0.071875 []
Start: second 0.075 []
Start: second 0.078125 []
Start: second 0.08125 []
Start: second 0.084375 []
Start: second 0.0875 []
Start: second 0.090625 []
Start: second 0.09375 []
Start: second 0.096875 []
Start: second 0.1 []
Start: second 0.103125 []
Start: second 0.10625 []
Start: second 0.109375 []
Start: second 0.1125 []
Start: second 0.115625 []
Start: second 0.11875 []
Start: second 0.121875 []
Start: second 0.125 []
Start: second 0.128125 []
Start: second 0.13125 []
Start: second 0.134375 []
Start: second 0.1375 []
Start: second 0.140625 []
Start: second 0.14375 []
Start: second 0.146875 []
Start: second 0.15 []
Start: second 0.153125 []
Start: second 0.15625 []
Start: second 0.159375 []
Start: second 0.1625 []
Start: second 0.165625 []
Start: second 0.16875 []
Start: second 0.171875 []
Start: second 0.175 []
Start: second 0.178125 []
Start: second 0.18125 []
Start: second 0.184375 []
Start: second 0.1875 []
Start: second 0.190625 []
Start: second 0.19375 []
Start: second 0.196875 []
Start: second 0.2 []
Start: second 0.203125 []
Start: second 0.20625 []
Start: second 0.209375 []
Start: second 0.2125 []
Start: second 0.215625 []
Start: second 0.21875 []
Start: second 0.221875 []
Start: second 0.225 []
Start: second 0.228125 []
Start: second 0.23125 []
Start: second 0.234375 []
Start: second 0.2375 []
Start: second 0.240625 []
Start: second 0.24375 []
Start: second 0.246875 []
Start: second 0.25 []
Start: second 0.253125 []
Start: second 0.25625 []
Start: second 0.259375 []
Start: second 0.2625 []
Start: second 0.265625 []
Start: second 0.26875 []
Start: second 0.271875 []
Start: second 0.275 []
Start: second 0.278125 []
Start: second 0.28125 []
Start: second 0.284375 []
Start: second 0.2875 []
Start: second 0.290625 []
Start: second 0.29375 []
Start: second 0.296875 []
Start: second 0.3 []
Start: second 0.303125 []
Start: second 0.30625 []
Start: second 0.309375 []
Start: second 0.3125 []
Start: second 0.315625 []
Start: second 0.31875 []
Start: second 0.321875 []
Start: second 0.325 []
Start: second 0.328125 []
Start: second 0.33125 []
Start: second 0.334375 []
Start: second 0.3375 []
Start: second 0.340625 []
Start: second 0.34375 []
Start: second 0.346875 []
Start: second 0.35 []
Start: second 0.353125 []
Start: second 0.35625 []
Start: second 0.359375 []
Start: second 0.3625 []
Start: second 0.365625 []
Start: second 0.36875 []
Start: second 0.371875 []
Start: second 0.375 []
Start: second 0.378125 []
Start: second 0.38125 []
Start: second 0.384375 []
Start: second 0.3875 []
Start: second 0.390625 []
Start: second 0.39375 []
Start: second 0.396875 []
Start: second 0.4 []
Start: second 0.403125 []
Start: second 0.40625 []
Start: second 0.409375 []
Start: second 0.4125 []
Start: second 0.415625 []
Start: second 0.41875 []
Start: second 0.421875 []
Start: second 0.425 []
Start: second 0.428125 []
Start: second 0.43125 []
Start: second 0.434375 []
Start: second 0.4375 ['D5', 'D#5']
Start: second 0.440625 ['D5', 'D#5']
Start: second 0.44375 ['D5', 'D#5']
Start: second 0.446875 ['D5', 'D#5']
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Start: second 8.490625 []
Start: second 8.49375 []
Start: second 8.496875 []
Start: second 8.5 []
Start: second 8.503125 []
Start: second 8.50625 []
Start: second 8.509375 []
Start: second 8.5125 []
Start: second 8.515625 []
Start: second 8.51875 []
Start: second 8.521875 []
Start: second 8.525 []
Start: second 8.528125 []
Start: second 8.53125 []
Start: second 8.534375 []
Start: second 8.5375 []
Start: second 8.540625 []
Start: second 8.54375 []
Start: second 8.546875 []
Start: second 8.55 []
Start: second 8.553125 []
Start: second 8.55625 []
Start: second 8.559375 []
Start: second 8.5625 ['C5']
Start: second 8.565625 ['C5']
Start: second 8.56875 ['C5']
Start: second 8.571875 ['C5']
Start: second 8.575 ['C5']
Start: second 8.578125 ['C5']
Start: second 8.58125 ['C5']
Start: second 8.584375 ['C5']
Start: second 8.5875 ['C5']
Start: second 8.590625 ['C5']
Start: second 8.59375 ['C5']
Start: second 8.596875 ['C5']
Start: second 8.6 ['C5']
Start: second 8.603125 ['C5']
Start: second 8.60625 ['C5']
Start: second 8.609375 ['C5']
Start: second 8.6125 ['C5']
Start: second 8.615625 []
Start: second 8.61875 []
Start: second 8.621875 []
Start: second 8.625 []
Start: second 8.628125 []
Start: second 8.63125 []
Start: second 8.634375 []
Start: second 8.6375 []
Start: second 8.640625 []
Start: second 8.64375 []
Start: second 8.646875 []
Start: second 8.65 []
Start: second 8.653125 []
Start: second 8.65625 []
Start: second 8.659375 []
Start: second 8.6625 []
Start: second 8.665625 []
Start: second 8.66875 []
Start: second 8.671875 []
Start: second 8.675 []
Start: second 8.678125 []
Start: second 8.68125 []
Start: second 8.684375 []
Start: second 8.6875 []
Start: second 8.690625 []
Start: second 8.69375 []
Start: second 8.696875 []
Start: second 8.7 []
Start: second 8.703125 []
Start: second 8.70625 []
Start: second 8.709375 []
Start: second 8.7125 []
Start: second 8.715625 []
Start: second 8.71875 []
Start: second 8.721875 []
Start: second 8.725 []
Start: second 8.728125 []
Start: second 8.73125 []
Start: second 8.734375 []
Start: second 8.7375 []
Start: second 8.740625 []
Start: second 8.74375 []
Start: second 8.746875 []
Start: second 8.75 []
Start: second 8.753125 []
Start: second 8.75625 []
Start: second 8.759375 []
Start: second 8.7625 []
Start: second 8.765625 []
Start: second 8.76875 []
Start: second 8.771875 []
Start: second 8.775 []
Start: second 8.778125 []
Start: second 8.78125 []
Start: second 8.784375 []
Start: second 8.7875 []
Start: second 8.790625 []
Start: second 8.79375 []
Start: second 8.796875 []
Start: second 8.8 []
Start: second 8.803125 []
Start: second 8.80625 []
Start: second 8.809375 []
Start: second 8.8125 []
Start: second 8.815625 []
Start: second 8.81875 []
Start: second 8.821875 []
Start: second 8.825 []
Start: second 8.828125 []
Start: second 8.83125 []
Start: second 8.834375 []
Start: second 8.8375 []
Start: second 8.840625 []
Start: second 8.84375 []
Start: second 8.846875 []
Start: second 8.85 []
Start: second 8.853125 []
Start: second 8.85625 []
Start: second 8.859375 []
Start: second 8.8625 []
Start: second 8.865625 []
Start: second 8.86875 []
Start: second 8.871875 []
Start: second 8.875 []
Start: second 8.878125 []
Start: second 8.88125 []
Start: second 8.884375 []
Start: second 8.8875 []
Start: second 8.890625 []
Start: second 8.89375 []
Start: second 8.896875 []
Start: second 8.9 []
Start: second 8.903125 []
Start: second 8.90625 []
Start: second 8.909375 []
Start: second 8.9125 []
Start: second 8.915625 []
Start: second 8.91875 []
Start: second 8.921875 []
Start: second 8.925 []
Start: second 8.928125 []
Start: second 8.93125 []
Start: second 8.934375 []
Start: second 8.9375 []
Start: second 8.940625 []
Start: second 8.94375 []
Start: second 8.946875 []
Start: second 8.95 []
Start: second 8.953125 []
Start: second 8.95625 []
Start: second 8.959375 []
Start: second 8.9625 []
Start: second 8.965625 []
Start: second 8.96875 []
Start: second 8.971875 []
Start: second 8.975 []
Start: second 8.978125 []
Start: second 8.98125 []
Start: second 8.984375 []
Start: second 8.9875 []
Start: second 8.990625 []
Start: second 8.99375 []
Start: second 8.996875 []
Start: second 9.0 []
Start: second 9.003125 []
Start: second 9.00625 []
Start: second 9.009375 []
Start: second 9.0125 []
Start: second 9.015625 []
Start: second 9.01875 []
Start: second 9.021875 []
Start: second 9.025 []
Start: second 9.028125 []
Start: second 9.03125 []
Start: second 9.034375 []
Start: second 9.0375 []
Start: second 9.040625 []
Start: second 9.04375 []
Start: second 9.046875 []
Start: second 9.05 []
Start: second 9.053125 []
Start: second 9.05625 []
Start: second 9.059375 []
Start: second 9.0625 []
Start: second 9.065625 []
Start: second 9.06875 []
Start: second 9.071875 []
Start: second 9.075 []
Start: second 9.078125 []
Start: second 9.08125 []
Start: second 9.084375 []
Start: second 9.0875 []
Start: second 9.090625 []
Start: second 9.09375 []
Start: second 9.096875 []
Start: second 9.1 []
Start: second 9.103125 []
Start: second 9.10625 []
Start: second 9.109375 []
Start: second 9.1125 []
Start: second 9.115625 []
Start: second 9.11875 []
Start: second 9.121875 []
Start: second 9.125 []
Start: second 9.128125 []
Start: second 9.13125 []
Start: second 9.134375 []
Start: second 9.1375 []
Start: second 9.140625 []
Start: second 9.14375 []
Start: second 9.146875 []
Start: second 9.15 []
Start: second 9.153125 []
Start: second 9.15625 []
Start: second 9.159375 []
Start: second 9.1625 []
Start: second 9.165625 []
Start: second 9.16875 []
Start: second 9.171875 []
Start: second 9.175 []
Start: second 9.178125 []
Start: second 9.18125 []
Start: second 9.184375 []
Start: second 9.1875 []
Start: second 9.190625 []
Start: second 9.19375 []
Start: second 9.196875 []
Start: second 9.2 []
Start: second 9.203125 []
Start: second 9.20625 []
Start: second 9.209375 []
Start: second 9.2125 []
Start: second 9.215625 []
Start: second 9.21875 []
Start: second 9.221875 []
Start: second 9.225 []
Start: second 9.228125 []
Start: second 9.23125 []
Start: second 9.234375 []
Start: second 9.2375 []
Start: second 9.240625 []
Start: second 9.24375 []
Start: second 9.246875 []
Start: second 9.25 []
Start: second 9.253125 []
Start: second 9.25625 []
Start: second 9.259375 []
Start: second 9.2625 []
Start: second 9.265625 []
Start: second 9.26875 []
Start: second 9.271875 []
Start: second 9.275 []
Start: second 9.278125 []
Start: second 9.28125 []
Start: second 9.284375 ['C5']
Start: second 9.2875 []
Start: second 9.290625 []
Start: second 9.29375 []
Start: second 9.296875 ['C5']
Start: second 9.3 ['C5']
Start: second 9.303125 ['C5']
Start: second 9.30625 ['C5']
Start: second 9.309375 ['C5']
Start: second 9.3125 ['C5']
Start: second 9.315625 ['C5']
Start: second 9.31875 ['C5']
Start: second 9.321875 ['C5']
Start: second 9.325 ['C5']
Start: second 9.328125 ['C5']
Start: second 9.33125 ['C5']
Start: second 9.334375 ['C5']
Start: second 9.3375 ['C5']
Start: second 9.340625 ['C5']
Start: second 9.34375 ['C5']
Start: second 9.346875 ['C5']
Start: second 9.35 ['C5']
Start: second 9.353125 ['C5']
Start: second 9.35625 ['C5']
Start: second 9.359375 ['C5']
Start: second 9.3625 ['C5']
Start: second 9.365625 ['C5']
Start: second 9.36875 ['C5']
Start: second 9.371875 ['C5']
Start: second 9.375 ['C5']
Start: second 9.378125 ['C5']
Start: second 9.38125 ['C5']
Start: second 9.384375 ['C5']
Start: second 9.3875 ['C5']
Start: second 9.390625 ['C5']
Start: second 9.39375 ['C5']
Start: second 9.396875 ['C5']
Start: second 9.4 ['C5']
Start: second 9.403125 ['C5']
Start: second 9.40625 ['C5']
Start: second 9.409375 ['C5']
Start: second 9.4125 ['C5']
Start: second 9.415625 []
Start: second 9.41875 []
Start: second 9.421875 ['C5']
Start: second 9.425 ['C5']
Start: second 9.428125 []
Start: second 9.43125 []
Start: second 9.434375 []
Start: second 9.4375 []
Start: second 9.440625 []
Start: second 9.44375 []
Start: second 9.446875 []
Start: second 9.45 []
Start: second 9.453125 []
Start: second 9.45625 []
Start: second 9.459375 []
Start: second 9.4625 []
Start: second 9.465625 []
Start: second 9.46875 []
Start: second 9.471875 []
Start: second 9.475 []
Start: second 9.478125 []
Start: second 9.48125 []
Start: second 9.484375 []
Start: second 9.4875 []
Start: second 9.490625 ['E4']
Start: second 9.49375 ['E4']
Start: second 9.496875 ['E4']
Start: second 9.5 ['C#4', 'E4']
Start: second 9.503125 ['C#4', 'E4']
Start: second 9.50625 ['C#4', 'E4']
Start: second 9.509375 ['C#4', 'E4']
Start: second 9.5125 ['C#4', 'E4']
Start: second 9.515625 ['C#4', 'E4']
Start: second 9.51875 ['C#4', 'E4']
Start: second 9.521875 ['C#4', 'E4']
Start: second 9.525 ['C#4', 'E4']
Start: second 9.528125 ['C#4', 'E4']
Start: second 9.53125 ['C#4', 'E4']
Start: second 9.534375 ['C#4', 'E4']
Start: second 9.5375 ['C#4', 'E4']
Start: second 9.540625 ['C#4', 'E4']
Start: second 9.54375 ['C#4', 'E4']
Start: second 9.546875 ['C#4', 'E4']
Start: second 9.55 ['C#4', 'E4']
Start: second 9.553125 ['C#4', 'E4']
Start: second 9.55625 ['C#4', 'E4']
Start: second 9.559375 ['C#4', 'E4']
Start: second 9.5625 ['C#4', 'E4']
Start: second 9.565625 ['C#4', 'E4']
Start: second 9.56875 ['C#4', 'E4']
Start: second 9.571875 ['C#4', 'E4']
Start: second 9.575 ['C#4', 'E4']
Start: second 9.578125 ['C#4', 'E4']
Start: second 9.58125 ['C#4', 'E4']
Start: second 9.584375 ['C#4', 'E4']
Start: second 9.5875 ['C#4', 'E4']
Start: second 9.590625 ['C#4', 'E4']
Start: second 9.59375 ['C#4', 'E4']
Start: second 9.596875 ['C#4', 'E4']
Start: second 9.6 ['C#4', 'E4']
Start: second 9.603125 ['C#4', 'E4']
Start: second 9.60625 ['C#4', 'E4']
Start: second 9.609375 ['C#4', 'E4']
Start: second 9.6125 ['C#4', 'E4']
Start: second 9.615625 ['C#4', 'E4']
Start: second 9.61875 ['C#4', 'E4']
Start: second 9.621875 ['C#4', 'E4']
Start: second 9.625 ['C#4', 'E4']
Start: second 9.628125 ['C#4', 'E4']
Start: second 9.63125 ['C#4', 'E4']
Start: second 9.634375 ['C#4', 'E4']
Start: second 9.6375 ['C#4', 'E4']
Start: second 9.640625 ['C#4', 'E4']
Start: second 9.64375 ['C#4', 'E4']
Start: second 9.646875 ['C#4', 'E4']
Start: second 9.65 ['C#4', 'E4']
Start: second 9.653125 ['C#4', 'E4']
Start: second 9.65625 ['C#4', 'E4']
Start: second 9.659375 ['C#4', 'E4']
Start: second 9.6625 ['C#4', 'E4']
Start: second 9.665625 ['C#4', 'E4']
Start: second 9.66875 ['C#4', 'E4']
Start: second 9.671875 ['C#4', 'E4']
Start: second 9.675 ['C#4', 'E4']
Start: second 9.678125 ['C#4', 'E4']
Start: second 9.68125 ['C#4', 'E4']
Start: second 9.684375 ['C#4', 'E4']
Start: second 9.6875 ['C#4', 'E4']
Start: second 9.690625 ['C#4', 'E4']
Start: second 9.69375 ['C#4', 'E4']
Start: second 9.696875 ['C#4', 'E4']
Start: second 9.7 ['C#4', 'E4']
Start: second 9.703125 ['C#4', 'E4']
Start: second 9.70625 ['C#4', 'E4']
Start: second 9.709375 ['C#4', 'E4']
Start: second 9.7125 ['C#4', 'E4']
Start: second 9.715625 ['C#4', 'E4']
Start: second 9.71875 ['C#4', 'E4']
Start: second 9.721875 ['C#4', 'E4']
Start: second 9.725 ['C#4', 'E4']
Start: second 9.728125 ['C#4', 'E4']
Start: second 9.73125 ['C#4', 'E4']
Start: second 9.734375 ['C#4', 'E4']
Start: second 9.7375 ['C#4', 'E4']
Start: second 9.740625 ['C#4', 'E4']
Start: second 9.74375 ['C#4', 'E4']

sample_rate // step

320

step

100

base = np.arange(320).astype(np.float64)

len(base) / sample_rate

0.01

amplitude = 0.5

def get_frequency(frequency):
    c = (frequency * 2 * np.pi * step) / sample_rate
    wavelet_ = amplitude * np.sin(c * base)
    return wavelet_

len(note_list)

3119

sample_rate

32000

len(note_list) / 32

97.46875

len(note_list)

3119

print(len(note_list))

3119

kmer

array([-0.0062561 , -0.00460815, -0.00305176, ..., -0.00192261,
       -0.00152588, -0.00128174], dtype=float32)

step

100

def reconstruct():
    wav = []
    for note_ls in note_list:
        wav.append(np.zeros_like(base))
        for note in note_ls:
            wav[-1] += get_frequency(notes_dict[note])
    wav = np.concatenate(wav)
    return Audio(wav, rate=3200)
#     return np.concatenate(wav)